Rishi bought 30 kg of sugar at the rate of Rs. 9 per kg and 45 kg of sugar at the rate of Rs. 10 per kg. He mixed both type of sugar and sold the mixture at the rate of Rs. 9.75 per kg. What was his gain or loss in the selling of whole sugar?

Correct Answer: gain of 28%

Explanation:

Money invested by Rajan before 1 year was = Rs. 100000

Money in UK pounds @ 75 is = 100000/75 = 1333.33 Pounds

 

Now, after 1 year invested amount was appreciated by 20%

=> 20% of 1333.33 = 266.66

 

Total investment becomes = 1333.33 + 266.66 = 1600 Pounds

This 1600 Pounds @ Indian currency at 80 = 1600 x 80 = Rs. 1,28,000

 

Hence, Rajan's investment of Rs. 1,00,000 becomes Rs. 1,28,000 in 1 year

 

Therefore, his profit % = [(128000 - 100000)/100000] x 100 = 28%.

Correct Answer: Rs. 1020

Explanation:

Let the marked price of the router be Rs. P

From the given data,

$$\begin{gathered} P x 85 100 - P x 80 100 = 51 \\ P x 5 100 = 51 \\ ? P = 5100 5 = 1020 \end{gathered}$$

 

Hence, the original marked price of the router is Rs. 1020.

Correct Answer: Rs. 1232

Explanation:

Let Cost Price(C.P) = P
gain% = {(S.P-C.P)/C.P} x 100
25 = {(1540-P)/P} x 100
25/100 = (1540-P)/P
=> P = 4(1540)-4P
=> 5P = 4(1540)
=> P = 1232
So, Cost Price = Rs. 1232

Correct Answer: 13.742% gain

Explanation:

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.

Correct Answer: Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article =  3 4 x 400 = 300

Now, 

Let the original S.P of the article be Rs. P

Now the new S.P = P +  16 . 666 + 13 . 333 300 x P

=> S.P =  7 P 6

According to the question,

7 P 6 - 300 = 2 P - 300

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420. 

Correct Answer: 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P. 

S.P. of P articles = Rs. 40.

 

Profit = Rs. (40 - P)

 

Now, Gain% =  P r o f i t C . P × 100 =  40 - P P × 100 

 

Here 40 - P P × 100= 25

-->P = 32.

 

 

Correct Answer: Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 =  Rs.3

Correct Answer: 0.95 %

Explanation:

SP of first article = 1000
Profit = 30%
CP = (SP)x[100/(100+P)] = 10000/13

SP of second article = 1000
Loss = 20%
CP = (SP)x[100/(100-L)] = 5000/4 = 1250

Total SP = 2000

Total CP = 10000/13 + 1250 = 2019.23

CP is more than SP, he makes a loss.

Loss = CP-SP = 2019.23 - 2000 = 19.23
Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

Correct Answer: Rs. 500

Explanation:

Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%.

S.P = C.P(1 + P%/100)

=> S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360

Let Johny quoted the marked price of the book as Rs. M

We know, SP = M.P(1 - Discount(%)/100)

Here discount = 10% to Shekar,

S.P for Johny = M(1 - 10/100) = 0.9M

But Johny want to earn 25% profit,

=> S.P = C.P(1 + P%/100)

=> 0.9M = 360(1 + 25/100)

=> M = (360x1.25)/0.9

=> M = Rs. 500

Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.

Correct Answer: Rs. 100

Explanation:

The first lost Rs. 100, but after the thief bought Rs. 60 goods, he get that Rs. 100 back but he lost Rs. 60 value of goods and Rs. 40 in change.

 

So, a total of 60 + 40 = 100 Rs. the owner lose.